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2 years ago

Maria by 1 and 2/5 pounds of lunch meat for $3.36 how much would 2 3/4 lb of lunch meat cost

Mathematics

1 answer:

Oliga [24]2 years ago

5 0

Answer:

$6.60

Step-by-step explanation:

1 2/5 = 1.4

3.36/1.4 = 2.4

2.40 per pound

2.40 * 2.75 = 6.60

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A trough has ends shaped like isosceles triangles, with width 5 m and height 7 m, and the trough is 12 m long. Water is being pu

Svet_ta [14]

Answer:

$\dfrac{dh}{dt}=21 \text{m/min}$

the rate of change of height when the water is 1 meter deep is 21 m/min

Step-by-step explanation:

First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)

$V = \dfrac{1}{2}(bh)\times L$

here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).

As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:

$\dfrac{b}{h} = \dfrac{5}{7}$

$b=\dfrac{5}{7}h$ this can be substituted back in the volume equation

$V = \dfrac{5}{14}h^2L$

the rate of the water flowing in is:

$\dfrac{dV}{dt} = 6$

The question is asking for the rate of change of height (m/min) hence that can be denoted as: $\frac{dh}{dt}$

Using the chainrule:

$\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}$

the only thing missing in this equation is dh/dV which can be easily obtained by differentiating the volume equation with respect to h

$V = \dfrac{5}{14}h^2L$

$\dfrac{dV}{dh} = \dfrac{5}{7}hL$

reciprocating

$\dfrac{dh}{dV} = \dfrac{7}{5hL}$

plugging everything in the chain rule equation:

$\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}$

$\dfrac{dh}{dt}=\dfrac{7}{5hL}\times 6$

$\dfrac{dh}{dt}=\dfrac{42}{5hL}$

L = 12, and h = 1 (when the water is 1m deep)

$\dfrac{dh}{dt}=\dfrac{42}{5(1)(12)}$

$\dfrac{dh}{dt}=21 \text{m/min}$

the rate of change of height when the water is 1 meter deep is 21 m/min

6 0

3 years ago

Read 2 more answers

670 If a die is rolled 3 times, what is the total number of possible outcomes?

Triss [41]

There is to say, for each first roll, we start out with six possibilities; for each of these, there are six possibilities for the second roll; finally, for each second roll, there are six possibilities for the third. So, 6 cubed. So, 216 is our denominator, i.e., the number of all possible outcomes.

Answer: 216

6 0

3 years ago

Four added to 3 times a number is 25

lukranit [14]

The answer is 13. To solve this you have to do 4*3 which is 12. Then you subtract 25 and 12 to get an answer of 13.

4 0

3 years ago

Katy uses 1 8/9 bags of chocolate chips in one batch of cupcakes. if she has 3 11/12 bags of chocolate chips left, about how man

Oksi-84 [34.3K]

1 (8/9) = 1.88888888
3 (11/12) = 3.9166666667 


3.91666 / 1.8888 = 2.0735294118 

So, she can make 2 batches of cupcakes.

8 0

2 years ago

A furnace was originally priced at $907.07 but went on sale for 33% off. If Omar bought the furnace and paid 9% sales tax, how m

Allisa [31]

Answer:

662.433221

Step-by-step explanation:

907.07 × 1.09 × 0.67

3 0

2 years ago